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With increasingly ambitious initiatives such as GENI and FIND that seek to design the future Internet, it becomes imperative to define the characteristics of robust topologies, and build future networks optimized for robustness. This paper…

Networking and Internet Architecture · Computer Science 2009-09-25 Ali Sydney , Caterina Scoglio , Mina Youssef , Phillip Schumm

The concept of network efficiency, recently proposed to characterize the properties of small-world networks, is here used to study the effects of errors and attacks on scale-free networks. Two different kinds of scale-free networks, i.e.…

Condensed Matter · Physics 2009-11-07 Paolo Crucitti , Vito Latora , Massimo Marchiori , Andrea Rapisarda

The resiliency of a network is its ability to remain \emph{effectively} functioning also when any of its nodes or links fails. However, to reduce operational and set-up costs, a network should be small in size, and this conflicts with the…

Data Structures and Algorithms · Computer Science 2016-11-07 Davide Bilò , Luciano Gualà , Stefano Leucci , Guido Proietti

Robust and efficient design of networks on a realistic geographical space is one of the important issues for the realization of dependable communication systems. In this paper, based on a percolation theory and a geometric graph property,…

Data Analysis, Statistics and Probability · Physics 2011-11-04 Yukio Hayashi

Strong resilience properties of dynamical flow networks are analyzed for distributed routing policies. The latter are characterized by the property that the way the inflow at a non-destination node gets split among its outgoing links is…

Systems and Control · Computer Science 2011-03-28 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

In this paper, we present algorithms for designing networks that are robust to node failures with minimal or limited number of links. We present algorithms for both the static network setting and the dynamic network setting; setting where…

Data Structures and Algorithms · Computer Science 2022-11-09 Deepan Muthirayan , Pramod P. Khargonekar

We investigate the robustness of random networks reinforced by adding hidden edges against targeted attacks. This study focuses on two types of reinforcement: uniform reinforcement, where edges are randomly added to all nodes, and selective…

Physics and Society · Physics 2024-07-30 Tomoyo Kawasumi , Takehisa Hasegawa

We study the tolerance to congestion failures in communication networks with scale-free topology. The traffic load carried by each damaged element in the network must be partly or totally redistributed among the remaining elements.…

Statistical Mechanics · Physics 2009-11-07 Y. Moreno , R. Pastor-Satorras , A. Vazquez , A. Vespignani

Modern world builds on the resilience of interdependent infrastructures characterized as complex networks. Recently, a framework for analysis of interdependent networks has been developed to explain the mechanism of resilience in…

Physics and Society · Physics 2015-06-16 Peng Zhang , Baisong Cheng , Zhuang Zhao , Daqing Li , Guangquan Lu , Yunpeng Wang , Jinghua Xiao

When an initial failure of nodes occurs in interdependent networks, a cascade of failure between the networks occurs. Earlier studies focused on random initial failures. Here we study the robustness of interdependent networks under targeted…

Physics and Society · Physics 2011-07-22 Xuqing Huang , Jianxi Gao , Sergey V. Buldyrev , Shlomo Havlin , H. Eugene Stanley

In this paper we study the problem of how resilient networks are to node faults. Specifically, we investigate the question of how many faults a network can sustain so that it still contains a large (i.e. linear-sized) connected component…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-01 Amitabha Bagchi , Ankur Bhargava , Amitabh Chaudhary , David Eppstein , Christian Scheideler

In a recent work [Proc. Natl. Acad. Sci. USA 108, 3838 (2011)], Schneider et al. proposed a new measure for network robustness and investigated optimal networks with respect to this quantity. For networks with a power-law degree…

Physics and Society · Physics 2011-08-10 Zhi-Xi Wu , Petter Holme

The behaviour of complex networks under failure or attack depends strongly on the specific scenario. Of special interest are scale-free networks, which are usually seen as robust under random failure but appear to be especially vulnerable…

Physics and Society · Physics 2012-09-25 Bertrand Berche , Christian von Ferber , Taras Holovatch , Yurij Holovatch

A network is scale-free if its connectivity density function is proportional to a power-law distribution. Scale-free networks may provide an explanation for the robustness observed in certain physical and biological phenomena, since the…

Molecular Networks · Quantitative Biology 2018-07-03 Peter Clote

Networks are known to be prone to link failures. In this paper we set out to investigate how networks of varying connectivity patterns respond to different link failure schemes in terms of connectivity, clustering coefficient and shortest…

Physics and Society · Physics 2016-08-14 Serdar Çolak , Hilmi Luş , Ali Rana Atılgan

Scale-free networks are ubiquitous in social, biological and technological networked systems. Dynamic Scale-free networks and their synchronizations are important to understand and predict the behavior of social, biological and…

Social and Information Networks · Computer Science 2024-09-16 Rakib Hassan Pran

Determining design principles that boost robustness of interdependent networks is a fundamental question of engineering, economics, and biology. It is known that maximizing the degree correlation between replicas of the same node leads to…

Physics and Society · Physics 2019-08-21 Ivan Kryven , Ginestra Bianconi

We investigate the fundamental principles that drive the development of scalable algorithms for network optimization. Despite the significant amount of work on parallel and decentralized algorithms in the optimization community, the methods…

Machine Learning · Statistics 2017-08-15 Patrick Rebeschini , Sekhar Tatikonda

We investigate certain structural properties of random interdependent networks. We start by studying a property known as $r$-robustness, which is a strong indicator of the ability of a network to tolerate structural perturbations and…

Social and Information Networks · Computer Science 2015-08-18 Ebrahim Moradi Shahrivar , Mohammad Pirani , Shreyas Sundaram

A complete understanding of real networks requires us to understand the consequences of the uneven interaction strengths between a system's components. Here we use the minimum spanning tree (MST) to explore the effect of weight assignment…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. J. Macdonald , E. Almaas , A. -L. Barabasi